On novel elastic structures inducing polariton resonances with finite frequencies and cloaking due to anomalous localized resonances

Hongjie Li, Jinhong Li, Hongyu LIU*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

This paper is concerned with the theoretical study of polariton resonances for linear elasticity governed by the Lamé system in R3, and their application for cloaking due to anomalous localized resonances. We derive a very general and novel class of elastic structures that can induce polariton resonances. It is shown that if either one of the two convexity conditions on the Lamé parameters is broken, then we can construct certain polariton structures that induce resonances. This significantly extends the relevant existing studies in the literature where the violation of both convexity conditions is required. Indeed, the existing polariton structures are a particular case of the general structures constructed in our study. Furthermore, we consider the polariton resonances within the finite frequency regime, and rigorously verify the quasi-static approximation for diametrically small polariton inclusions. Finally, as an application of the newly found structures, we construct a polariton device of the core-shell-matrix form that can induce cloaking due to anomalous localized resonance in the quasi-static regime, which also includes the existing study as a special case.

Original languageEnglish
Pages (from-to)195-219
Number of pages25
JournalJournal des Mathematiques Pures et Appliquees
Volume120
DOIs
Publication statusPublished - Dec 2018

Scopus Subject Areas

  • Mathematics(all)
  • Applied Mathematics

User-Defined Keywords

  • Anomalous localized resonance
  • Asymptotic and spectral analysis
  • Negative elastic materials
  • Polariton material

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